How do you simplify $2[-4+3(-7+4)]$ using PEMDAS?

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Answer 1 · 2016-06-14T08:54:54

Start with the innermost bracket and work out to get $-26$

PEDMAS refers to the order in which we solve an equation:

Parentheses (I tend to call them Brackets)
Exponentials
Multiplication
Division
Addition
Subtraction

Let's start with the original:

$2[-4+3(-7+4)]$

So we have 2 times a big bracket and within that bracket there is 3 times a smaller bracket. Since we do brackets first and the innermost brackets:

$2[-4+3(-3)]$

We can multiply the 3 by the result of the small bracket (-3):

$2[-4-9]$

$-4-9$ is inside the big bracket, so let's do that:

$2[-13]$

$-26$

Answer 2 · 2016-08-01T12:28:26

$-26$

There is only one term, but there are 2 terms inside the square bracket. Work from the inner bracket.

$2[color(blue)(-4)+3color(red)((-7+4))]$

= $2[color(blue)(-4)+3color(red)((-3))]$

= $2[color(blue)(-4)-color(red)9]$

= $2 xx (-13)$

= $-26$

How do you simplify 2[-4+3(-7+4)]2[-4+3(-7+4)] using PEMDAS?